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3386430135 = 3251119472163
BaseRepresentation
bin1100100111011000…
…1101001010110111
322202000011110211100
43021312031022313
523413411231020
61320010541143
7146630116104
oct31166151267
98660143740
103386430135
1114886080a0
127a61377b3
1341c78441a
14241a77aab
1514c476a90
hexc9d8d2b7

3386430135 has 144 divisors (see below), whose sum is σ = 6929170560. Its totient is φ = 1513054080.

The previous prime is 3386430133. The next prime is 3386430161. The reversal of 3386430135 is 5310346833.

3386430135 is a `hidden beast` number, since 3 + 3 + 8 + 643 + 0 + 1 + 3 + 5 = 666.

It is not a de Polignac number, because 3386430135 - 21 = 3386430133 is a prime.

It is a super-2 number, since 2×33864301352 = 22935818118472236450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3386430135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3386430133) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20775564 + ... + 20775726.

It is an arithmetic number, because the mean of its divisors is an integer number (48119240).

Almost surely, 23386430135 is an apocalyptic number.

3386430135 is an abundant number, since it is smaller than the sum of its proper divisors (3542740425).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3386430135 is a wasteful number, since it uses less digits than its factorization.

3386430135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3386430135 is about 58193.0419809791. The cubic root of 3386430135 is about 1501.6914452916.

Adding to 3386430135 its reverse (5310346833), we get a palindrome (8696776968).

The spelling of 3386430135 in words is "three billion, three hundred eighty-six million, four hundred thirty thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 19 33 45 47 55 57 95 99 141 163 165 171 209 235 285 423 489 495 517 627 705 815 855 893 1045 1467 1551 1793 1881 2115 2209 2445 2585 2679 3097 3135 4465 4653 5379 6627 7335 7661 7755 8037 8965 9291 9405 9823 11045 13395 15485 16137 19881 22983 23265 24299 26895 27873 29469 33135 34067 38305 40185 41971 46455 49115 68949 72897 80685 84271 88407 99405 102201 114915 121495 125913 139365 145559 147345 170335 209855 218691 252813 306603 344745 360067 364485 377739 421355 436677 442035 461681 511005 629565 727795 758439 1080201 1093455 1264065 1310031 1385043 1533015 1601149 1800335 1888695 2183385 2308405 3240603 3792195 3960737 4155129 4803447 5401005 6550155 6841273 6925215 8005745 11882211 14410341 16203015 19803685 20523819 20775645 24017235 34206365 35646633 59411055 61571457 72051705 75254003 102619095 178233165 225762009 307857285 376270015 677286027 1128810045 3386430135